6-3y=5(y-4)

Solution for 6-3y=5(y-4) equation:

Simplifying
6 + -3y = 5(y + -4)

Reorder the terms:
6 + -3y = 5(-4 + y)
6 + -3y = (-4 * 5 + y * 5)
6 + -3y = (-20 + 5y)

Solving
6 + -3y = -20 + 5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5y' to each side of the equation.
6 + -3y + -5y = -20 + 5y + -5y

Combine like terms: -3y + -5y = -8y
6 + -8y = -20 + 5y + -5y

Combine like terms: 5y + -5y = 0
6 + -8y = -20 + 0
6 + -8y = -20

Add '-6' to each side of the equation.
6 + -6 + -8y = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -8y = -20 + -6
-8y = -20 + -6

Combine like terms: -20 + -6 = -26
-8y = -26

Divide each side by '-8'.
y = 3.25

Simplifying
y = 3.25